9(n+6)-5(2+2n)=-8n+5n

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Solution for 9(n+6)-5(2+2n)=-8n+5n equation: 


Simplifying
9(n + 6) + -5(2 + 2n) = -8n + 5n

Reorder the terms:
9(6 + n) + -5(2 + 2n) = -8n + 5n
(6 * 9 + n * 9) + -5(2 + 2n) = -8n + 5n
(54 + 9n) + -5(2 + 2n) = -8n + 5n
54 + 9n + (2 * -5 + 2n * -5) = -8n + 5n
54 + 9n + (-10 + -10n) = -8n + 5n

Reorder the terms:
54 + -10 + 9n + -10n = -8n + 5n

Combine like terms: 54 + -10 = 44
44 + 9n + -10n = -8n + 5n

Combine like terms: 9n + -10n = -1n
44 + -1n = -8n + 5n

Combine like terms: -8n + 5n = -3n
44 + -1n = -3n

Solving
44 + -1n = -3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '3n' to each side of the equation.
44 + -1n + 3n = -3n + 3n

Combine like terms: -1n + 3n = 2n
44 + 2n = -3n + 3n

Combine like terms: -3n + 3n = 0
44 + 2n = 0

Add '-44' to each side of the equation.
44 + -44 + 2n = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 2n = 0 + -44
2n = 0 + -44

Combine like terms: 0 + -44 = -44
2n = -44

Divide each side by '2'.
n = -22

Simplifying
n = -22

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